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Finding the Fourth Proportional to 2,187.12, 3,281.30 and 726.40

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Solution

The fourth proportional to 2,187.12, 3,281.30 and 726.40 is: 1,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.12 : 3,281.30 = 726.40 : x
  2. Step 2: Convert to fraction form
    2,187.12/3,281.30 = 726.40/x
  3. Step 3: Cross multiply
    2,187.12x = 3,281.30 × 726.40
  4. Step 4: Simplify right side
    2,187.12x = 2,383,536.32
  5. Step 5: Solve for x
    x = 2,383,536.32/2,187.12
  6. Step 6: Final answer
    x = 1,089.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.